?? extension of AG theory of g-torsor x ...

?? g-equivariant morphism from x to y .... ??? where y is some particular g-space (??? .....) ....

for example g = gl(1) ... y = tautological g-space .... ???? ...

?? laurent polynomials .... ????? z-graded .... ????? ......

?? co-module of laurent polynomials ??? ....

??? toric ... ??? ....

??? degree 0 alg homomorphism from polynomials to laurent polynomials .... ???? = laurent polynomial of degree 1 ??? ....

??? "k1-based module of k1-algebra k2 as simply module of underlying ring of k2" ??? .... ??? sort of analog of this that fails, where base is purely stacky instead of purely spacey ??? ..... ??? ..... ...

?? affine algebraic geometry over purely stacky base .... ???? ....

??? "g-equivariant algebraic geometry" ... ??? .... ??? dorette pronk ... ??? ... ?? "morita" equivalence vs stricter equivalence

?? "g-torsor x tw g-equivariant x-parameterized family of [h_?]-torsors" .... ??? .... categorified version of ... ?? ....